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2121220422 = 232734093947
BaseRepresentation
bin111111001101111…
…0100000101000110
312110211110011101100
41332123310011012
513321013023142
6550253040530
7103365035046
oct17633640506
95424404340
102121220422
11999412332
124b2486146
1327a60a919
14161a11726
15c6359b4c
hex7e6f4146

2121220422 has 48 divisors (see below), whose sum is σ = 4671510480. Its totient is φ = 695506176.

The previous prime is 2121220417. The next prime is 2121220429. The reversal of 2121220422 is 2240221212.

2121220422 is a `hidden beast` number, since 2 + 1 + 21 + 220 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121220395 and 2121220404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121220429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535453 + ... + 539399.

It is an arithmetic number, because the mean of its divisors is an integer number (97323135).

Almost surely, 22121220422 is an apocalyptic number.

2121220422 is an abundant number, since it is smaller than the sum of its proper divisors (2550290058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121220422 is a wasteful number, since it uses less digits than its factorization.

2121220422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2121220422 is about 46056.7087621337. The cubic root of 2121220422 is about 1284.8781187170.

Adding to 2121220422 its reverse (2240221212), we get a palindrome (4361441634).

The spelling of 2121220422 in words is "two billion, one hundred twenty-one million, two hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 146 219 409 438 657 818 1227 1314 2454 3681 3947 7362 7894 11841 23682 29857 35523 59714 71046 89571 179142 268713 288131 537426 576262 864393 1614323 1728786 2593179 3228646 4842969 5186358 9685938 14528907 29057814 117845579 235691158 353536737 707073474 1060610211 2121220422